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91. Evaluate the definite integral ∫0π |cos x| dx.   Evaluate the Integral ∫₀π |cos x| dx – Detailed Solution Understanding the Problem This question belongs to the topic of […]

90. A circle is given by the equation 2x² + 2y² + 8x − 20y + 10 = 0. The area of a square whose side equals the radius of […]

89. The value of the complex number (1 + i)150 + (1 − i)150 is ______. Find the Value of the Complex Number (1+i)150 + (1−i)150 Correct Answer Answer: 0 […]

88. The total number of mappings from the set {1, 2} to the set {3, 4, 5, 6, 7} is _____. The Total Number of Mappings from the Set {1, […]

87. Let N be the set of all natural numbers. Consider the relation R on N given by R = {(m, n) : m − n is divisible by 2}. […]

86. Let a and b be two non-zero vectors such that |a + b| = |a − b| Then (A) a and b are parallel to each other (B) a […]

85. If A and B are two skew-symmetric matrices, the matrix AB + BA must be (A) skew-symmetric (B) symmetric (C) invertible (D) NOT invertible If A and B are […]

84. The lengths of two sides of a triangle are 2 units and 3 units and the angle included by these two sides is 60°. The length of the third […]

83. Let nCr denote the binomial coefficient nCr = n! / [r!(n-r)!]. For n = 100, find the sum of the series 1 − nC1 + nC2 − nC3 + […]

82. Let R be the set of all real numbers. Consider the sets P = {x ∈ R : (x − 1)(x² + 1) = 0} Q = {x ∈ […]